(cf. [1]} and [2]}).
For \(l\in \Sigma _0\) , let \(\gamma _l\)  denote the Frobenius automorphism of \(l\)  in \(\Gamma =\operatorname{Gal}(\mathbb {Q}_{\infty }/\mathbb {Q})\) . Factor \(P_l(E/\mathbb {Q},T)=(1-\alpha _l T)(1-\beta _l T)\) . Consider the power series \(\mathcal {P}_l(E/\mathbb {Q},T)\in \mathbb {Z}_p[[T]]\)  corresponding to
\(\mathcal {P}_l:=\left(1-\alpha _l l^{-1}\gamma _l\right) \left(1-\beta _l l^{-1}\gamma _l\right)\in \Lambda .\) 
